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KCET2024PhysicsCurrent Electricity

The electric current flowing through a given conductor varies with time as shown in the graph below. The number of free electrons which flow through a given cross-section of the conductor in the time interval 0 t 20 ~s is

Options

  1. A3.125 10¹⁹
  2. B1.6 10¹⁹
  3. C6.25 10¹⁸
  4. D1.625 10¹⁸

Correct answer

A. 3.125 10¹⁹

Step-by-step solution

Total charge flowing the cross-section of the conductor is equal to area under I-t graph. Q= (100+300) 2 10 10⁻³+(20-10) 300 10⁻³=1+3=4 C Since, Q=n e n= Q e = 4 1.6 10⁻¹⁹ =3.125 10¹⁹

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